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Test: Binary Operations for JEE 2024 is part of JEE preparation. The Test: Binary Operations questions and answers have been prepared
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Test: Binary Operations - Question 3

Given below is the table corresponding to some binary operation a * b on a set {0,1,2,3,4,5}. How many elements of this operation have an inverse?.

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Test: Binary Operations - Question 4

If * and ^{O} are two binary operations defined by a * b = a + b and a ^{O} b = ab, then

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Test: Binary Operations - Question 6

The number of binary operations which can be defined on the set P= {p, q} is

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Test: Binary Operations - Question 7

Given below is binary composition table a* b = LCM of a and b on S = {1,2,3,4}. Then, from the table determine which one of these options is correct.

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Test: Binary Operations - Question 8

Let * be any binary operation on the set R defined by a * b = a + b – ab, then the binary operation * is

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Test: Binary Operations - Question 9

Given below is the table corresponding to some binary operation a * b on a set {0, 1,2,3,4,5}. Identify the identity element of this operation.

Test: Binary Operations - Question 10

The identity element for the binary operation * defined by a * b = ab/2, where a, b are the elements of a set of non-zero rational numbers, is

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